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Basic Linear Algebra (Springer Undergraduate Mathematics Series)

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Basic Linear Algebra (Springer Undergraduate Mathematics Series) Cover

 

Synopses & Reviews

Publisher Comments:

Basic Linear Algebra is a text for first year students leading from concrete examples to abstract theorems, via tutorial-type exercises. More exercises (of the kind a student may expect in examination papers) are grouped at the end of each section. The book covers the most important basics of any first course on linear algebra, explaining the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. Linear equations are treated via Hermite normal forms which provides a successful and concrete explanation of the notion of linear independence. Another important highlight is the connection between linear mappings and matrices leading to the change of basis theorem which opens the door to the notion of similarity. This new and revised edition features additional exercises and coverage of Cramer's rule (omitted from the first edition). However, it is the new, extra chapter on computer assistance that will be of particular interest to readers: this will take the form of a tutorial on the use of the "LinearAlgebra" package in MAPLE 7 and will deal with all the aspects of linear algebra developed within the book.

Synopsis:

Covers the most important basics of any first course on linear algebra. This new and revised edition also features additional exercises, new material on Cramer's rule and an extra chapter on computer assistance.

Table of Contents

Preface Forward The Algebra of Matrices Some Applications of Matrices Systems of Linear Equations Invertible Matrices Vector Spaces Linear Mappings The Matrix Connection Determinants Eigenvalues and Eigenvectors The Minimum Polynomial Computer Assistance Solutions to the Exercises index

Product Details

ISBN:
9781852336622
Author:
Blyth, T. S.
Author:
Montague, John F.
Author:
Blyth, Tom S.
Author:
Robertson, E. F.
Author:
Blyth, T. S.
Publisher:
Springer
Location:
London
Subject:
Algebra
Subject:
Algebra - General
Subject:
Algebra - Linear
Subject:
Algebras, linear
Subject:
Non-linear algebra
Subject:
Mathematics-Linear Algebra
Subject:
Linear and Multilinear Algebras, Matrix Theory
Copyright:
Edition Number:
2
Edition Description:
2nd ed. 2002
Series:
Springer Undergraduate Mathematics Series
Series Volume:
2002-12
Publication Date:
August 2002
Binding:
TRADE PAPER
Language:
English
Pages:
243
Dimensions:
235 x 178 mm 890 gr

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Related Subjects


Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Linear Algebra
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Basic Linear Algebra (Springer Undergraduate Mathematics Series) Used Trade Paper
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Product details 243 pages Springer-Verlag - English 9781852336622 Reviews:
"Synopsis" by , Covers the most important basics of any first course on linear algebra. This new and revised edition also features additional exercises, new material on Cramer's rule and an extra chapter on computer assistance.
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